William B. Hart

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All published works

Action	Title	Year	Authors
+ PDF Chat	Short addition sequences for theta functions	2018	Andreas Enge William B. Hart Fredrik Johansson
+ PDF Chat	Short addition sequences for theta functions	2018	Andreas Enge William B. Hart Fredrik Johansson
+ PDF Chat	Nemo/Hecke	2017	Claus Fieker William B. Hart Tommy Hofmann Fredrik Johansson
+	Irregular primes to two billion	2016	William B. Hart David Harvey Wilson Ong
+	Irregular primes to two billion	2016	William B. Hart David Harvey Wilson Ong
+ PDF Chat	Class invariants from a new kind of Weber-like modular equation	2015	William B. Hart
+	FLINT : Fast library for number theory	2013	William B. Hart
+ PDF Chat	Congruent Number Theta Coefficients to 1012	2010	William B. Hart Gonzalo Tornaría Mark E. Watkins
+ PDF Chat	Algorithm 898	2010	M. Albrecht Gregory V. Bard William B. Hart
+	A NEW CLASS OF THETA FUNCTION IDENTITIES IN TWO VARIABLES	2010	Robin Chapman William B. Hart Pee Choon Toh
+ PDF Chat	Schläfli modular equations for generalized Weber functions	2008	William B. Hart
+ PDF Chat	An identity for the Dedekind eta-function involving two independent complex variables	2007	Bruce C. Berndt William B. Hart
+ PDF Chat	A NEW CLASS OF MODULAR EQUATION FOR WEBER FUNCTIONS	2007	William B. Hart
+ PDF Chat	Evaluation of the Dedekind Eta Function	2006	Robin Chapman William B. Hart
+	Modular equations and eta evaluations	2003	William B. Hart

Common Coauthors

Coauthor	Papers Together
Fredrik Johansson	3
David Harvey	2
Andreas Enge	2
Wilson Ong	2
Robin Chapman	2
M. Albrecht	1
Bruce C. Berndt	1
Mark E. Watkins	1
Claus Fieker	1
Gregory V. Bard	1
Gonzalo Tornaría	1
Tommy Hofmann	1
Pee Choon Toh	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Ramanujan’s Notebooks: Part V	1997	Bruce C. Berndt	4
+	Elliptic Modular Functions	1974	Bruno Schoeneberg	3
+ PDF Chat	Evaluation of the Dedekind Eta Function	2006	Robin Chapman William B. Hart	3
+ PDF Chat	Irregular primes to one million	1992	Joe Buhler Richard E. Crandall R. W. Sompolski	3
+	Generating class fields using Shimura reciprocity	1998	Alice Gee Peter Stevenhagen	3
+	A cache-friendly truncated FFT	2009	David Harvey	3
+ PDF Chat	Primes of the form x2 + ny2: Fermat, class field theory, and complex multiplication	1990	David A. Cox	3
+	Lehrbuch der Algebra	1921	Heinrich Weber	3
+ PDF Chat	Cyclotomic invariants for primes between 125000 and 150000	1991	R. Ernvall Tauno Metsänkylä	2
+	The Interaction Algorithm and Practical Fourier Analysis	1958	I. J. Good	2
+	Irregular Primes and Cyclotomic Invariants to 12 Million	2001	Joe Buhler Richard E. Crandall R. Ernvall Tauno Metsänkylä Mohammad Amin Shokrollahi	2
+ PDF Chat	Irregular primes and cyclotomic invariants	1975	Wells Johnson	2
+ PDF Chat	EXAMINATION OF METHODS OF ATTACK ON THE SECOND CASE OF FERMAT'S LAST THEOREM	1954	H. S. Vandiver	2
+ PDF Chat	Introduction to Elliptic Curves and Modular Forms	1993	Neal Koblitz	2
+ PDF Chat	Irregular primes and cyclotomic invariants to four million	1993	Joe Buhler Richard E. Crandall R. Ernvall Tauno Metsänkylä	2
+	Binary quadratic forms and the eta function	2002	Robin Chapman Alfred J. van der Poorten	2
+ PDF Chat	The irregular primes to 125000	1978	Samuel S. Wagstaff	2
+ PDF Chat	The truncated fourier transform and applications	2004	Joris van der Hoeven	2
+ PDF Chat	On Russell-Type Modular Equations	2000	Heng Huat Chan Wen-Chin Liaw	2
+	A multimodular algorithm for computing Bernoulli numbers	2010	David Harvey	2
+	Ramanujan’s Notebooks	1998	Bruce C. Berndt	2
+ PDF Chat	Approximate formulas for some functions of prime numbers	1962	J. Barkley Rosser Lowell Schoenfeld	2
+ PDF Chat	An identity for the Dedekind eta-function involving two independent complex variables	2007	Bruce C. Berndt William B. Hart	2
+ PDF Chat	Ramanujan’s class invariants, Kronecker’s limit formula, and modular equations	1997	Bruce C. Berndt Heng Huat Chan Liang-Cheng Zhang	2
+ PDF Chat	Ramanujan’s theories of elliptic functions to alternative bases	1995	Bruce C. Berndt Saurabh Bhargava Frank G. Garvan	2
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen	2
+ PDF Chat	New congruences for the Bernoulli numbers	1987	Jonathan W. Tanner Samuel S. Wagstaff	2
+ PDF Chat	Values of the Dedekind Eta Function at Quadratic Irrationalities	1999	Alfred van der Poorten Kenneth S. Williams	2
+ PDF Chat	A sum connected with the series for the partition function	1956	Albert Leon Whiteman	1
+ PDF Chat	Cubic singular moduli, Ramanujan’s class invariants λ<sub>n</sub>and the explicit Shimura Reciprocity Law	2003	Heng Huat Chan Victor Tan Alice Gee	1
+	Exact values of some two-dimensional lattice sums	1975	I. J. Zucker Marcy Robertson	1
+ PDF Chat	Rank Computations for the Congruent Number Elliptic Curves	2000	Nicholas F. Rogers	1
+ PDF Chat	Algorithmic Algebraic Number Theory	1989	Michael Pohst Hans Zassenhaus	1
+	The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and 𝑞-series	2003	Ken Ono	1
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	1
+	Computing the residue of the Dedekind zeta function	2014	Karim Belabas Eduardo Friedman	1
+	Cyclotomic Fields I and II	1990	Serge Lang	1
+ PDF Chat	A generalization of the Chowla-Selberg formula and the zeta functions of quadratic orders	1990	Masanobu Kaneko	1
+	Theta function identities	1990	Ronald J. Evans	1
+	On Bernoulli’s numbers and Fermat’s last theorem	1937	H. S. Vandiver	1
+	Representations of Integers as Sums of Squares	1985	Emil Grosswald	1
+	HANDBOOK OF MAGMA FUNCTIONS	2011	John Cannon Wieb Bosma Claus Fieker Allan Steel	1
+	All congruent numbers less than 2000	1986	Gerhard Kramarz	1
+ PDF Chat	Constructing elliptic curves over finite fields using double eta-quotients	2004	Andreas Enge Reinhard Schertz	1
+ PDF Chat	Determinants of Legendre symbol matrices	2004	Robin Chapman	1
+	Discrete Fourier transforms when the number of data samples is prime	1968	Charles M. Rader	1
+	Introduction to Cyclotomic Fields	1982	Lawrence C. Washington	1
+ PDF Chat	On the singular values of Weber modular functions	1997	Noriko Yui Don Zagier	1
+	Further aspects of the evaluation of σ<sub>(m. n≠0, 0)</sub> (am<sup>2</sup> + bnm + cn<sup>2</sup>)<sup>−s</sup>	1984	I. J. Zucker Marcy Robertson	1
+ PDF Chat	Generalised Weber functions	2014	Andreas Enge François Morain	1